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发帖数: 18699 | 1 2015 putnam A6
整个竞赛就数这道题有意思
Let $n$ be a positive integer. Suppose that $A$, $B$, and $M$ are $ntimes n$
matrices with real entries such that $AM = MB$, and such that $A$ and $B$
have the same characteristic polynomial. Prove that $det(A-MX) = det(B-XM)$
for every $ntimes n$ matrix $X$ with real entries. |
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